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31714440 = 23351272081
BaseRepresentation
bin111100011111…
…0110010001000
32012200021000220
41320332302020
531104330230
63051430040
7533365632
oct170766210
965607026
1031714440
11169a158a
12a755320
136755454
1442d7a52
152bb6d10
hex1e3ec88

31714440 has 64 divisors (see below), whose sum is σ = 95938560. Its totient is φ = 8386560.

The previous prime is 31714433. The next prime is 31714453. The reversal of 31714440 is 4441713.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 31714440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14200 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (1499040).

Almost surely, 231714440 is an apocalyptic number.

31714440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47969280).

31714440 is an abundant number, since it is smaller than the sum of its proper divisors (64224120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31714440 is a wasteful number, since it uses less digits than its factorization.

31714440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 31714440 is about 5631.5575110266. The cubic root of 31714440 is about 316.5330159299.

The spelling of 31714440 in words is "thirty-one million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2081 2540 3048 3810 4162 5080 6243 7620 8324 10405 12486 15240 16648 20810 24972 31215 41620 49944 62430 83240 124860 249720 264287 528574 792861 1057148 1321435 1585722 2114296 2642870 3171444 3964305 5285740 6342888 7928610 10571480 15857220 31714440